Abstract and Applied Analysis
Volume 2008 (2008), Article ID 295307, 6 pages
Research Article

A New q-Analogue of Bernoulli Polynomials Associated with p-Adic q-Integrals

Lee-Chae Jang

Department of Mathematics and Computer Science, KonKuk University, Chungju 380-701, South Korea

Received 14 May 2008; Accepted 18 June 2008

Academic Editor: Paul Eloe

Copyright © 2008 Lee-Chae Jang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We will study a new q-analogue of Bernoulli polynomials associated with p-adic q-integrals. Furthermore, we examine the Hurwitz-type q-zeta functions, replacing p-adic rational integers x with a q-analogue [x]q for a p-adic number q with |q1|p<1, which interpolate q-analogue of Bernoulli polynomials.